On the growth rate for three-layer Hele-Shaw flows: Variable and constant viscosity cases

abstract

• The linear stability of three-layer Hele-Shaw flows with middle-layer having variable viscosity is considered. Based on application of the Gerschgorin's theorem on finite-difference approximation of the linearized disturbance equations, an upper bound of the growth rate is given and its limiting case for the case of constant viscosity middle-layer is considered. A weak formulation of this equation, we obtained after some analysis. The upper bound in this case has also been derived here by analyzing an weak formulation of the problem. 2005 Elsevier Ltd. All rights reserved.

authors

• Daripa, Prabir

published proceedings

• INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

author list (cited authors)

• Daripa, P., & Pasa, G.

citation count

• 13

complete list of authors

• Daripa, Prabir||Paşa, G

publication date

• July 2005

publisher

• Elsevier  Publisher

published in

• International Journal of Engineering Science  Journal

keywords

• Dispersion Relation
• Linear Stability
• Sturm-liouville Problem
• Three-layer Hele-shaw Flows

Digital Object Identifier (DOI)

• 10.1016/j.ijengsci.2005.03.006

start page

• 877

end page

• 884

volume

• 43

issue

• 11-12

URL

• http://dx.doi.org/10.1016/j.ijengsci.2005.03.006